Abstract: A method for the computer-assisted control of a machine or a process using a process computer connected to the machine, installation, or the like via an interface, a monitor connected to the process computer for the graphic display of the machine or process cycle, and an input device, preferably in the form of a keyboard, for programming a control or predetermining set values, the control being based on a machine or process-specific flow chart, is designed to take account of the real-time behavior of a machine or a process such that the programming of the control process or the predetermination of the machining steps proceeds from vectors and/or curves, and that the real-time behavior of the machine or process is considered in that the machining steps and thus the individual movements are converted by including the machine and process-specific data into the form of a process-linked polygonal course.